Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
2nd Edition
ISBN: 9780076602919
Author: McGraw-Hill Education
Publisher: McGraw-Hill Education
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Chapter 3.1, Problem 68PFA

a.

To determine

To find the true statements from the following statements

A. The graph is linear.

B. The graph is nonlinear.

C. The function is increasing.

D. The function is decreasing.

E. The function is neither increasing nor decreasing.

F. The function is positive.

G. The function is negative.

a.

Expert Solution
Check Mark

Answer to Problem 68PFA

A D G

Explanation of Solution

Given:

The graph below shows the height of a candle.

  Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1), Chapter 3.1, Problem 68PFA , additional homework tip 1

A. The graph is linear.

B. The graph is nonlinear.

C. The function is increasing.

D. The function is decreasing.

E. The function is neither increasing nor decreasing.

F. The function is positive.

G. The function is negative.

The given graph is linear. Since the curve is a straight line.

When a candle burns the size of the candle keeps on decreasing. So, the function is decreasing.

Also, the function is negative since the candle is melting and the curve is a decreasing curve.

b.

To determine

To find: the x intercept.

b.

Expert Solution
Check Mark

Answer to Problem 68PFA

  x=8

Explanation of Solution

Given:

The graph below shows the height of a candle

  Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1), Chapter 3.1, Problem 68PFA , additional homework tip 2

On closely examining the graph the y intercept starts increasing at x=0 and stops at x=8

c.

To determine

To find: the y intercept.

c.

Expert Solution
Check Mark

Answer to Problem 68PFA

  y=24

Explanation of Solution

Given:

The graph below shows the height of a candle.

  Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1), Chapter 3.1, Problem 68PFA , additional homework tip 3

On closely examining the graph the y intercept starts decreasing at y=24 and stops at y=0

d.

To determine

To explain: the intercepts representation.

d.

Expert Solution
Check Mark

Explanation of Solution

Given:

The graph below shows the height of a candle.

  Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1), Chapter 3.1, Problem 68PFA , additional homework tip 4

The graph is decreasing and the intercepts of y are decreasing while x intercepts are increasing.

e.

To determine

To find: the time that the candle has been burning.

e.

Expert Solution
Check Mark

Answer to Problem 68PFA

5hours 30 minutes

Explanation of Solution

Given:

Height of the candle: 8 centimeters

  Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1), Chapter 3.1, Problem 68PFA , additional homework tip 5

Calculation:

The height of the candle is inversely proportional to the time taken.

Therefore,

When the height of the candle decreases, the time taken increases.

Slope, m=(y2−y1)(x2−x1)=(0−24)(8−0)=−248=−3

Therefore, the height of the candle decreases by 3cm every minute.

Totally, the candle takes 8 minutes.

  y=mx+b where m is the slope, b is the y intercept and y is the height of the candle.

  8=−3x+24−24+8=−3x−16=−3xx=163x=5.33

Therefore, the candle takes 5 hours 30 minutes to burn.

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Chapter 3.1, Problem 67PFA
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Chapter 3.2, Problem 1AGP

Chapter 3 Solutions

Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)

Ch. 3.1 - Prob. 1AGPCh. 3.1 - Prob. 1BGPCh. 3.1 - Prob. 2GPCh. 3.1 - Prob. 3GPCh. 3.1 - Prob. 4AGPCh. 3.1 - Prob. 4BGPCh. 3.1 - Prob. 5AGPCh. 3.1 - Prob. 5BGPCh. 3.1 - Prob. 5CGPCh. 3.1 - Prob. 1CYU
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Prob. 13MCQCh. 3 - Prob. 14MCQCh. 3 - Prob. 15MCQCh. 3 - Prob. 16MCQCh. 3 - Prob. 17MCQCh. 3 - Prob. 18MCQCh. 3 - Prob. 19MCQCh. 3 - Prob. 20MCQCh. 3 - Prob. 21MCQCh. 3 - Prob. 22MCQCh. 3 - Prob. 23MCQCh. 3 - Prob. 24MCQCh. 3 - Prob. 25MCQCh. 3 - Prob. 26MCQCh. 3 - Prob. 1SGRCh. 3 - Prob. 2SGRCh. 3 - Prob. 3SGRCh. 3 - Prob. 4SGRCh. 3 - Prob. 5SGRCh. 3 - Prob. 6SGRCh. 3 - Prob. 7SGRCh. 3 - Prob. 8SGRCh. 3 - Prob. 9SGRCh. 3 - Prob. 10SGRCh. 3 - Prob. 11SGRCh. 3 - Prob. 12SGRCh. 3 - Prob. 13SGRCh. 3 - Prob. 14SGRCh. 3 - Prob. 15SGRCh. 3 - Prob. 16SGRCh. 3 - Prob. 17SGRCh. 3 - Prob. 18SGRCh. 3 - Prob. 19SGRCh. 3 - Prob. 20SGRCh. 3 - Prob. 21SGRCh. 3 - Prob. 22SGRCh. 3 - Prob. 23SGRCh. 3 - Prob. 24SGRCh. 3 - Prob. 25SGRCh. 3 - Prob. 26SGRCh. 3 - Prob. 27SGRCh. 3 - Prob. 28SGRCh. 3 - Prob. 29SGRCh. 3 - Prob. 30SGRCh. 3 - Prob. 31SGRCh. 3 - Prob. 32SGRCh. 3 - Prob. 33SGRCh. 3 - Prob. 34SGRCh. 3 - Prob. 35SGRCh. 3 - Prob. 36SGRCh. 3 - Prob. 37SGRCh. 3 - Prob. 38SGRCh. 3 - Prob. 39SGRCh. 3 - Prob. 40SGRCh. 3 - Prob. 41SGRCh. 3 - Prob. 42SGRCh. 3 - Prob. 43SGRCh. 3 - Prob. 44SGRCh. 3 - Prob. 45SGRCh. 3 - Prob. 46SGRCh. 3 - Prob. 47SGRCh. 3 - Prob. 48SGRCh. 3 - Prob. 49SGRCh. 3 - Prob. 50SGRCh. 3 - Prob. 51SGRCh. 3 - Prob. 52SGRCh. 3 - Prob. 53SGRCh. 3 - Prob. 54SGRCh. 3 - Prob. 55SGRCh. 3 - Prob. 56SGRCh. 3 - Prob. 57SGRCh. 3 - Prob. 58SGRCh. 3 - Prob. 59SGRCh. 3 - Prob. 60SGRCh. 3 - Prob. 61SGRCh. 3 - Prob. 62SGRCh. 3 - Prob. 63SGRCh. 3 - Prob. 64SGRCh. 3 - Prob. 65SGRCh. 3 - Prob. 66SGRCh. 3 - Prob. 67SGRCh. 3 - Prob. 68SGRCh. 3 - Prob. 69SGRCh. 3 - Prob. 70SGRCh. 3 - Prob. 71SGRCh. 3 - Prob. 72SGRCh. 3 - Prob. 73SGRCh. 3 - Prob. 74SGRCh. 3 - Prob. 75SGRCh. 3 - Prob. 76SGRCh. 3 - Prob. 77SGRCh. 3 - Prob. 78SGRCh. 3 - Prob. 1PTCh. 3 - Prob. 2PTCh. 3 - Prob. 3PTCh. 3 - Prob. 4PTCh. 3 - Prob. 5PTCh. 3 - Prob. 6PTCh. 3 - Prob. 7PTCh. 3 - Prob. 8PTCh. 3 - Prob. 9PTCh. 3 - Prob. 10PTCh. 3 - Prob. 11PTCh. 3 - Prob. 12PTCh. 3 - Prob. 13PTCh. 3 - Prob. 14PTCh. 3 - Prob. 15PTCh. 3 - Prob. 16PTCh. 3 - Prob. 17PTCh. 3 - Prob. 18PTCh. 3 - Prob. 19PTCh. 3 - Prob. 20PTCh. 3 - Prob. 21PTCh. 3 - Prob. 22PTCh. 3 - Prob. 23PTCh. 3 - Prob. 24PTCh. 3 - Prob. 25PTCh. 3 - Prob. 26PTCh. 3 - Prob. 27PTCh. 3 - Prob. 1CRCh. 3 - Prob. 2CRCh. 3 - Prob. 3CRCh. 3 - Prob. 4CRCh. 3 - Prob. 5CRCh. 3 - Prob. 6CRCh. 3 - Prob. 7CRCh. 3 - Prob. 8CRCh. 3 - Prob. 9CRCh. 3 - Prob. 10CRCh. 3 - Prob. 11CRCh. 3 - Prob. 12CRCh. 3 - Prob. 13CRCh. 3 - Prob. 14CR

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